Boris L Tsygan

  • 471 Citations
1983 …2020
If you made any changes in Pure, your changes will be visible here soon.

Personal profile

Research Interests

Non-commutative geometry, index theory, microlocal analysis, deformation quantization, mathematical physics, and sympletic geometry.

Education/Academic qualification

Pure Mathematics, PhD, Moscow State University, USSR, Moscow

… → 1987

Undergraduate Studies, Kiev State University, USSR, Kiev

… → 1980

Fingerprint Dive into the research topics where Boris L Tsygan is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 4 Similar Profiles
Deformation Quantization Mathematics
Index Theorem Mathematics
Formality Mathematics
Hochschild Homology Mathematics
Operad Mathematics
Graded Lie Algebras Mathematics
Gerbe Mathematics
Symplectic Manifold Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Grants 2003 2020

Research Output 1983 2018

  • 471 Citations
  • 31 Article
  • 4 Conference contribution
  • 3 Chapter
  • 1 Editorial
1 Citation (Scopus)

A microlocal category associated to a symplectic manifold

Tsygan, B., Jan 1 2018, Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Hitrik, M., Tamarkin, D., Tsygan, B. & Zelditch, S. (eds.). Springer New York LLC, p. 225-337 113 p. (Springer Proceedings in Mathematics and Statistics; vol. 269).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Symplectic Manifold
Enriched Category
Deformation Quantization
Local System


Hitrik, M., Tamarkin, D. E., Tsygan, B. L. & Zelditch, S. M., Jan 1 2018, In : Springer Proceedings in Mathematics and Statistics. 269, p. v-Xiv

Research output: Contribution to journalEditorial

On quasi-classical limits of DQ-algebroids

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., Jan 1 2017, In : Compositio Mathematica. 153, 1, p. 41-67 27 p.

Research output: Contribution to journalArticle

Classical Limit

Deligne groupoid revisited

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B. L., Jul 7 2015, In : Theory and Applications of Categories. 30, p. 1001-1016 16 p., 29.

Research output: Contribution to journalArticle

Simplicial Set
Graded Lie Algebras
Differential Forms
4 Citations (Scopus)

Formality theorem for gerbes

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., Mar 9 2015, In : Advances in Mathematics. 273, p. 215-241 27 p.

Research output: Contribution to journalArticle

Deformation Theory
Vector Control